A charged sphere of radius R1=0.1 cm and total charge Q=6 nanoCoulomb is placed

Question

A charged sphere of radius R1=0.1 cm and total charge Q=6 nanoCoulomb is placed at the
center of a hollow spherical conducting shell (inner radius R2=1.0 cm, outer radius R3=2.0 cm)
which has a net charge Qshell= - 4.0 nanoCoulomb. (See the figure, but note that the figure is not
drawn to scale) Find the magnitude of the electric field, E, outside of the spherical shell at a distance of 10 cm from its center. (Give your answer in units of Newtons/Coulomb)

A charged sphere of radius R1=0.1 cm and total charge Q=6 nanoCoulomb is placed at the center of a hollow spherical conducting shell (inner radius R2=1.0 cm, outer radius R3=2.0 cm) which has a net charge Qshell= - 4.0 nanoCoulomb. (See the figure, but note that the figure is not drawn to scale) Find the magnitude of the electric field, E, outside of the spherical shell at a distance of 10 cm from its center. (Give your answer in units of Newtons/Coulomb)

Explanation / Answer

from Gauss's Law only total charge enclosed matters

E = 9E9*(6.0E-9 - 4.0E-9)/.1^2= 1800 N/C

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